what is the square root of 23

The square root of 23 The square root of 23 is expressed as √23 in root form and (23) ½ or (23) 0.5 in exponentiation. The square root of 23 rounded to 7 decimal places is 4.7958315. It is the positive solution of the equation x2 = 23.

  • Square root of 23: 4.795831523312719
  • Square root of 23 in exponential form: (23) or (23) 0.5
  • Square root of 23 in root form: 23

1. What is the square root of 23? 2. Is the square root of 23 Reasonable or Unreasonable? 3. How to find the square root of 23? 4. Important Notes 5. Think Tank 6. Frequently Asked Questions about Square Root of 23 The square root of a number n is written in the form √n. This number when squared or multiplied by itself will give the original number n. The square root of 23 can be written in many ways. Read: What is the square root of 23

  • Radical form: 23
  • Decimal: 4.796
  • Exponential form: (23) 1/2

There are only 2 ways to find the square root of 23:

  • Long division method
  • Estimates and approximations

Read more: What does the hourglass mean in Snapchat? | Top Q&A cannot use prime factorization here, because 23 is a prime number. Think about it.

Long division method

The square root of 23 according to the long division method consists of the following steps:

  • Step 1: Starting from the right, we will pair the 23 digits by placing a bar above them. We also concatenate zeros in decimal in pairs of 2s from left to right.
  • Step 2: Find a number that, when multiplied by itself, gives a product less than or equal to 23. The right 4 here is 4 squared by 16. Dividing 23 by 4 with a quotient of 4, we get a remainder of 7.
  • Step 3: Drag a pair of zeros down and fill it next to a 7 to generate a 700 dividend.
  • Step 4: Double the divisor by 4 and enter 8 below with a blank digit to the right of it. Guess the largest possible digit (X) to fill in the blank and the quotient where the product of 8X and X gives a value less than or equal to 700. Since 7 matches the value of X, we fill in the quotient 7 after the cross. feces. Divide and write the remainder.
  • Step 5: Repeat this process to get the decimal places you want.
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Read more: Help! What is a French bed? Large size, double size, small size and single size square root of 23 = 4.7958

Estimates and approximations

The estimation method gives us an approximate answer and is often inaccurate to more than 1 decimal place. However, it is very easy to do as can be seen below.

  • Step 1: Find a perfect square that is smaller and larger than 23. In this case, 4 and 5 will work because their squares are 16 and 25.
  • Step 2: Write as inequality- 4 < 23 < 5 = 16 < 23 < 25
  • Step 3: Multiply by 10 and write as square root- 1600 < √2300 < √2500
  • Step 4: Approaching the inequality- 2209 < 2300 < √2304 = 47 < 10√23 < 48 = 4.7 < 23 < 4.8
  • Step 5: Taking the mean of the upper and lower bounds, we get, (4.7 + 4.8) / 2 = 4.75

Therefore, we can estimate square root of 23 4.75Explore square roots using interactive illustrations and examplesRead more: What are the VPI and VCI settings of a broadband connection? | Top Q&A

  • Square root of 27
  • Square root of 29
  • Square root of 25
  • Square root of 21
  • Square root of 26

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